M4maths Previous Puzzles

08 Aug 2022 Time and Work

Certain work is proposed to be completed in 54 days with 30 men. But after 36 days it is observed that only 40% of the work is completed. How many more men are required to complete the work in stipulated time ?

OPtion

1) 75
2) 90
3) 45
4) 60
5) 30
6) 48
7) 63
8) 36
9) 72
10) None of these

Solution

Total days=54, Work completed with 30 men in 36 days=40%=2/5
Remaining work=1 - 2/5=3/5, Remaining days=54-36=18
Let 'x' extra men are employed to finish the work, then total new men = (30+x)
According to Men, days & work rule, 30 Men*36 Days / (2/5) Work = (30+x) Men*18 Days / (3/5) Work
30*36 / (2/5) = (30+x)*18 / (3/5)
⇒ x=60
.'. 60 extra men are required to finish the work in time of 54 days.
Correct Option 4)

Correct Option: 4 Best Solution (2)

G.S.Kantharao   2 years AGO

30men completed 40% of work in 54days
They can complete the whole work in 90days
So after 36 days work left =3/5th
In (90-36)=54days 30 can complete 3/5
In 18 days =(54/18)*30=90
So still required 60 more men
My option is 4👈

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RAMADURAI NATESAN   2 years AGO

3oM 36d (2/5)w. Balance (3/5)w.
30M 1d (1/90)w. 1M 18d (1/150)w. 150M 18d 1 W
(3/5 )w 18d = 90 M
ddl.M reqd = 60

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